Number 13 Find the measures of angles 1, 2, and 3.

1. 37

2. 26

3. 26

Step-by-step explanation:

Subtracting 63 from 180, you find the linear pair, being 117 which helps find an angle in the lower triangle. The sum of all angles is 180, and to find 2, you subtract the known angles ( 180-(37+117)) which equals 26. Knowing the shape is a parallelogram, and the opposite sides are parallel, we can say 2 and 3 are congruent through the alternate interior angles theorem. 1 is found through applying the same theorem.

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4